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Mathematics Textbook 6B Grade
ArchiMath Publishing LLC
Authors: Zvezdelina Stankova, Zdravka Paskaleva, Maya Alashka, Raina Alashka
Pages: 420
ISBN: 978-954-779-207-4
Available: Paperback & PDF
In the secont part of the 6 grade textbooks, students continue to build on the foundation set in 6A; this set has a heavy emphasis on algebra and arithmetic skills needed to progress to more advanced topics in the later books.
Overview
In algebra, fractions are introduced – students learn to correctly and efficiently add, subtract, multiply, and divide proper and improper fractions, along with mixed numbers. They explore applications of fractions to geometry and elementary data science, presenting and analyzing information given in tables, charts, and diagrams.
Students also begin to work with negative numbers and exponents. In further geometric study, they expand their knowledge on plane figures, adding circles and regular polygons to the mix. The books close with yearly review, reminding students just how far they have come..
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solution for parents who want the best math foundation for their kids engaging math curriculum that students love, with reading and writing elements that develop critical thinking skills.Our
rigorous materials that teach in depth problem-solving skills, preparing students for exams and build the necessary foundation for math contest.
Stepping board for Ap exam, preparation for successful college math curses ( in particular SAT exams)Chapter 6. Common Fractions
- Proper and Improper Fractions
- Mixed Numbers
- Basic Property of Fractions: Expanding
- Basic Property of Fractions: Reducing
- Comparing Fractions
- Converting Fractions
to a Common Denominator
- Representing Common Fractions
on a Number Ray
- Converting between Decimals
and Common Fractions
- Finite and Infinite Repeating Decimals
- Adding Fractions with
Same Denominators
- Adding Fractions
with Different Denominators
- Subtracting Fractions
with Equal Denominators
- Subtracting Fractions
with Different Denominators
- Adding and Subtracting
Common Fractions and Decimals
- Adding and Subtracting Fractions.
Finding an Unknown Number
- Evaluating Numerical Expressions
- Multiplying Common Fractions
- Multiplying Fractions. Properties
- Dividing Common Fractions
- Dividing Fractions. Exercises
- Operations with Common Fractions
and Decimals
- Operations with Fractions.
Finding an Unknown Number
- Operations with Fractions.
Evaluating Numerical Expressions
- Summary of “Common Fractions,”
- Summary of “Common Fractions,”
Preparation and Test Techniques (Review)
- Sample Test and Exams
Diagrams
Chapter 7. Applications of Fractions
- Part of a Number
- Part of a Number. Basic Exercises
- Word Problems Solved by
Introducing Parts of the Number 1
- Percent. Definition
- Percent. Basic Exercises
- Percent. Basic Exercises (Continuation)
- Percent. Applications
- Applications of Common Fractions.
Area of a Triangle and a Trapezoid
- Areas of Geometric Figures
- Processing Information Given in a Table
- Processing Information Given in a Table
(Practical Exercises)
- Circular Diagram. Histogram
- Summary of “Applications of Fractions”
- Sample Test and Exams
Chapter 8. Exponentiation
- The Operation of Exponentiation.
Powers with Natural Exponents
- Numerical Expressions Containing Powers.
Exercises
- Finding the Unknown Component When
Operating with Powers. Exercises
- Multiplying Powers with Same Bases
- Dividing Powers with Equal Bases
- Finding Numerical Value of Expressions
Containing Powers. Exercises
- The Power of a Product
- The Power of a Quotient
- The Power of a Power
- Operations with Powers. Exercises
- Scientific Notation of a Natural Number.
Exercises
- Summary of “Exponentiation”
- Sample Test
Chapter 9.
Rational Numbers
Part I: Modulus, Addition, and Subtraction
- Positive and Negative Numbers
The Set of Rational Numbers
- Representing Rational Numbers
on the Number Axis
- Opposite Numbers. Absolute Value
(Modulus) of a Rational Number
- Modulus of Rational Numbers. Exercises
- Comparing Rational Numbers
- Adding Rational Numbers
with Same Signs
- Adding Rational Numbers
with Opposite Signs
- Properties of Addition
- Subtracting Rational Numbers
- Adding and Subtracting Rational Numbers.
Exercises
- Algebraic Sum
- Algebraic Sum. Exercises
- Finding the Unknown Summand
- Summary of “Rational Numbers,”
- Sample Test
for Constructing
- Multiplying Rational Numbers
- Properties of Multiplication
- Adding, Subtracting, and Multiplying
Rational Numbers. Exercises
- Dividing Rational Numbers. Properties
- Dividing Rational Numbers. Exercises
- Multiplying and Dividing Rational Numbers.
Exercises
- Finding the Unknown Factor
- Operations with Rational Numbers.
Exercises
- Finding Powers of Rational Numbers
- Powers with Zero and Integer Exponent
- Powers with Integer Exponents.
- Summary of “Rational Numbers,”
- Sample Test for Constructing Diagrams
Chapter 10. Circles and Polygons
- Circle. Length of a Circle
- Circle. Length of a Circle. Exercises
- Length of a Circle. Practical Exercises
- Disc. Area of a Disc
- Constructing a Circular Diagram
- Polygon. Regular Polygon
- Area of a Polygon
- Summary of “Circles and Polygons”
- Test
Chapter 11. Graphing and Data
- Cartesian Coordinate System
- Coordinates of a Point.
- Reflecting Points across a Line.
- Representing Data in Tables and Graphs
- Understanding Data in Tables and Graphs
- Arithmetic Mean. Applications
- Summary of “Applications. Statistics”
- Sample Test
Chapter 12. Yearly Review
- Operations with Fractions (Review)
- Part of a Number. Percent (Review)
- Geometric Figures (Review)
- Rectangular Parallelepipeds (Review)
- Number Theory: Divisibility (Review)
- General Problems on Chapters 1-7
- Tests 1-2 and Exams 1-2 on Chapters 1-7
- Tests 3-4 on Chapters 1-7
- Exponentiation (Review). Test
- Rational Numbers (Review). Test
- Exit Level: Test 1, Test 2
- General Tests on 6th Grade Material
Appendix
A1. Properties of Rational Numbers
Properties of Powers
A2. Geometric Figures and Solids
A3. Statistical Data
for Constructing Diagrams